Complex Intuitionistic Fuzzy Quasi-Associative Ideals of BCI-algebras

Authors

  • T. Ramesh Sri Vidya Mandir Arts & Science College
  • M. Balamurugan Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology
  • Aiyared Iampan Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand https://orcid.org/0000-0002-0475-3320

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6331

Keywords:

BCI-algebra, Complex intuitionistic fuzzy quasi-associative ideal, Complex intuitionistic fuzzy b-ideal

Abstract

This paper explores the application of complex intuitionistic fuzzy sets to the study of quasi-associative ideals in BCI-algebras. We introduce a new concept—complex intuitionistic fuzzy quasi-associative ideals in BCI-algebras—and analyze their fundamental properties. The relationships between complex intuitionistic fuzzy ideals and complex intuitionistic fuzzy quasi-associative ideals are investigated in detail. Furthermore, we present key characterizations of these quasi-associative ideals, providing deeper insights into their structure and role within BCI-algebraic systems. Finally, we prove that every complex intuitionistic fuzzy b-ideal is a complex intuitionistic fuzzy quasi-associative ideal in BCI-algebras.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Algebra

License

Copyright (c) 2025 T. Ramesh, M. Balamurugan, Aiyared Iampan

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How to Cite

Complex Intuitionistic Fuzzy Quasi-Associative Ideals of BCI-algebras. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6331. https://doi.org/10.29020/nybg.ejpam.v18i3.6331